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Finding the Fourth Proportional to 660.16, 991.64 and 641.92

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Solution

The fourth proportional to 660.16, 991.64 and 641.92 is: 964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.16 : 991.64 = 641.92 : x
  2. Step 2: Convert to fraction form
    660.16/991.64 = 641.92/x
  3. Step 3: Cross multiply
    660.16x = 991.64 × 641.92
  4. Step 4: Simplify right side
    660.16x = 636,553.55
  5. Step 5: Solve for x
    x = 636,553.55/660.16
  6. Step 6: Final answer
    x = 964.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.